# Technical Reports - Leon O. Chua

Simulation of RTD-Based CNN Cells (M00/51)

M. Haenggi and Leon O. Chua

A Deterministic Nonlinear Capacitor Model for Single-Electron Tunneling Junctions (M00/16)

M. Haenggi and Leon O. Chua

Single-Electron Tunneling Junction Cellular Nonlinear Networks (M00/10)

T. Yang and Leon O. Chua

Physical Modeling of RTD-Based CNN Cells (M00/1)

M. Haenggi, R. Dogaru and Leon O. Chua

A Compact and Universal RTD-Based CNN Cell: Circuit, Piecewise-Linear Model, and Functional Capabilities (M99/72)

R. Dogaru, Leon O. Chua and M. Haenggi

Resistance Triangle Inequality (M99/21)

Leon O. Chua

An Active Contour Algorithm for Continuous- Time Cellular Neural Networks (M98/67)

D.L. Vilarino, T. Kozek and Leon O. Chua

The Criteria for Symmetric Vector State Equations of Cellular Neural Networks (M98/42)

T. Yang and Leon O. Chua

Hopf Bifurcations and Degeneracies in Chua's Circuit--A Perspective from a Frequency Domain Approach (M98/27)

J.L. Moiola and Leon O. Chua

Rectification Neural Networks: A Novel Adaptive Architecture and Its Application for Implementing the Local Logic of Cellular Neural Networks (M98/4)

R. Dogaru and Leon O. Chua

Bubble-Debris Classification via Binary Morphology and Autowave Metric on CNN (M97/97)

I. Szatmari, A. Schultz, C. Rekeczky, T. Kozek, T. Roska and Leon O. Chua

Image Segmentation and Edge Detection via Constrained Diffusion and Adaptive Morphology: A CNN Approach to Bubble-Debris Image Enhancement (M97/96)

C. Rekeczky, A. Schultz, I. Szatmari, T. Roska and Leon O. Chua

Functional Measurements of the First Analog Input/Output CNN Universal Chip (M97/95)

A. Zarandy, J.M. Cruz, P. Szolgay, P. Foldesy, Leon O. Chua and T. Roska

Chaotic Digital Code-Division Multiple Access (CDMA) Communication Systems (M97/58)

T. Yang and Leon O. Chua

Very Low Bit-Rate Video Coding Using Cellular Neural Network Universal Machine (M97/46)

K. Slot, Leon O. Chua and T. Roska

The Pyramidal Universal Cell: A New Approach for Computation in Cellular Neural Networks (M97/41)

R. Dogaru, K.R. Crounse and Leon O. Chua

A New Synaptic Operator and Its Application for Efficient Implementation of Cellular Neural Networks in Digital Technologies (M97/40)

R. Dogaru, K.R. Crounse and Leon O. Chua

Impulsive Control and Synchronization of Chaotic Systems and Secure Communication (M97/12)

T. Yang and Leon O. Chua

Cryptography Based on Chua's Circuits (M97/6)

T. Yang, C.W. Wu and Leon O. Chua

A VLSI-Friendly Synapse Model and Its Application for Fast and Cheap Signal Classification Problems with Neuro-Fuzzy Networks (M97/5)

R. Dogaru and Leon O. Chua

On the Implementation of the Spatial Prisoner's Dilemma Game on the CNN Universal Machine (M96/78)

L. Nemes and Leon O. Chua

Channel-Independent Chaotic Secure Communication (M96/77)

T. Yang and Leon O. Chua

New Results and Measurements Related to Dynamic Image Coding Using CNN Universal Chips (M96/58)

T. Kozek, C.W. Wu, A. Zarandy, H. Chen, T. Roska, M. Kunt and Leon O. Chua

Synthesizing Arbitrary Driving-Point and Transfer Characteristics (M96/45)

Leon O. Chua, C.W. Wu, G-Q. Zhong and L.F. Luis

Implementation of Binary and Gray-Scale Mathematical Morphology on the CNN Universal Machine (M96/19)

A. Zarandy, A. Stoffels, T. Roska and Leon O. Chua

Arbitrary Spatial Convolution via CNN Universal Machine with 3 X 3 Templates: Methods and Issues (M96/5)

K.R. Crounse and Leon O. Chua

Hardware Implementation of Cellular Automata via the Cellular Neural Network Universal Machine (M95/111)

K.R. Crounse, E.L. Fung and Leon O. Chua

Experimental Poincare Maps from the Twist-and-Flip Circuit (M95/110)

G-Q. Zhong, Leon O. Chua and R. Brown

On Adaptive Synchronization and Control of Nonlinear Dynamical Systems (M95/93)

C.W. Wu, T. Yang and Leon O. Chua

Object Oriented Image Analysis for Very Low Bitrate Video Coding Systems Using the CNN Universal Machine (M95/79)

A. Stoffels, T. Roska and Leon O. Chua

Synchronization of Chua's Circuits with Time-Varying Channels and Parameters (M95/76)

Leon O. Chua, T. Yang, G-Q. Zhong and C.W. Wu

On the Generality of the Unfolded Chua's Circuit (M95/62)

C.W. Wu and Leon O. Chua

Methods for Image Processing and Pattern Formation in Cellular Neural Networks: A Tutorial (M95/45)

K.R. Crounse and Leon O. Chua

The CNN Universal Machine is as Universal as a Turing Machine (M95/29)

K.R. Crounse and Leon O. Chua

Arnol'd Tongues, The Devil's Staircase, and Self-Similarity in the Driven Chua's Circuit (M94/86)

L. Pivka, A.L. Zheleznyak and Leon O. Chua

On the Generation of Scroll Waves in a Three-Dimensional Discrete Active Medium (M94/83)

L. Pivka, A.L. Zheleznyak, C.W. Wu and Leon O. Chua

Synchronizing Nonautonomous Chaotic Systems Without Phase-Locking (M94/77)

C.W. Wu and Leon O. Chua

The Analog Cellular Neural Network as a Bionic Eye (M94/70)

F. Werblin, T. Roska and Leon O. Chua

Estimating the Dimensional Characteristics of Two-Dimensional Patterns (M94/54)

A.L. Zheleznyak and Leon O. Chua

A Unified Framework for Synchronization and Control of Dynamical Systems II-- Arrays of Linearly Coupled Systems (M94/51)

C.W. Wu and Leon O. Chua

Sidewall Forcing of Hexagonal Turing Patterns: Rhombic Patterns (M94/35)

V. Perez-Munuzuri, M. Gomez-Gesteira, A.P. Munuzuri, Leon O. Chua and V. Perez-Villar

Analogic CNN Algorithms for Some Image Compression and Restoration Tasks (M94/30)

P.L. Venetianer, F. Werblin, T. Roska and Leon O. Chua

Novel Types of Analogic CNN Algorithms for Recognizing Bank-Notes (M94/29)

A. Zarandy, F. Werblin, T. Roska and Leon O. Chua

A Unified Framework for Synchronization and Control of Dynamical Systems (M94/28)

C.W. Wu and Leon O. Chua

Cellular Neural Networks Operating in Oscillatory Modes (M94/5)

C.W. Wu, T. Roska and Leon O. Chua

The Simplest Dissipative Non-Autonomous Chaotic Circuit (M93/93)

K. Murali, M. Lakshmanan and Leon O. Chua

The Learning Problem for Discrete-Time Cellular Neural Networks as a Combinatorial Optimization Problem (M93/88)

H. Magnussen, J.A. Nossek and Leon O. Chua

Hyperchaotic Attractors of Unidirectionally- Coupled Chua's Circuits (M93/87)

T. Kapitaniak and Leon O. Chua

A Simple Way to Synchronize Chaotic Systems with Applications to Secure Communication Systems (M93/73)

C.W. Wu and Leon O. Chua

Language, Compiler, and Operating System for the CNN Supercomputer (M93/34)

T. Roska, Leon O. Chua and A. Zarandy

Transition in Dynamical Regime by Driving: A Method of Control and Synchronization of Chaos (M93/32)

L. Kocarev, A. Shang and Leon O. Chua

Spread Spectrum Communication Through Modulation of Chaos (M93/27)

K.S. Halle, C.W. Wu, M. Itoh and Leon O. Chua

Cycles of Chaotic Intervals in a 1-D Piecewise-Linear Map (M93/26)

Y.L. Maistrenko, V.L. Maistrenko and Leon O. Chua

Two-Parameter Study of Transition to Chaos in Chua's Circuit: Renormalization Group, Universality and Scaling (M93/17)

A.P. Kuznetsov, S.P. Kuznetsov, I.R. Sataev and Leon O. Chua

Self-Similarity and Universality in Chua's Circuit via the Approximate Chua's 1-D Map (M93/15)

A.P. Kuznetsov, S.P. Kuznetsov, I.R. Sataev and Leon O. Chua

Controlling Chaos Without Feedback and Control Signals (M93/14)

T. Kapitaniak, L. Kocarev and Leon O. Chua

On Chaotic Synchronization in a Linear Array of Chua's Circuits (M93/11)

V.N. Belykh, N.N. Verichev, L. Kocarev and Leon O. Chua

Global Unfolding of Chua's Circuits (M93/7)

Leon O. Chua

A Simple Ode With More Than 20 Strange Attractors (M92/141)

Leon O. Chua

Signal Amplification via Chaos: Experimental Evidence (M92/130)

K.S. Halle, Leon O. Chua, V.S. Anishchenko and M.A. Safonova

Transmission of Digital Signals by Chaotic Synchronization (M92/129)

U. Parlitz, Leon O. Chua, L. Kocarev, K.S. Halle and A. Shang

Stability of Cellular Neural Networks with Dominant Nonlinear and Delay-Type Templates (M92/121)

T. Roska, C.W. Wu and Leon O. Chua

Chaos Synchronization in Chua's Circuit (M92/111)

Leon O. Chua, M. Itoh, L. Kocarev and K. Eckert

Learning State Space Trajectories in Cellular Neural Networks (M92/106)

A.J. Schuler, P. Nachbar, J.A. Nosser and Leon O. Chua

Bifurcation Analysis of Chua's Circuit (M92/96)

Leon O. Chua and L.T. Huynh

A Zoo of Strange Attractors from the Canonical Chua's Circuits (M92/87)

Leon O. Chua

Genetic Algorithm for CNN Template Learning (M92/82)

T. Kozek, R. Roska and Leon O. Chua

Discontinuous One-Dimensional Maps from the Generalized Chua Equations (M92/80)

R. Brown and Leon O. Chua

Fractals in the Twist-and-Flip Circuit (M92/77)

Leon O. Chua, R. Brown and N. Hamilton

Dry Turbulence from a Time-Delayed Chua's Circuit (M92/76)

A.N. Sharkovsky, Y. Maistrenko, P. Deregel and Leon O. Chua

Autowaves for Image Processing on a Two-Dimensional CNN Array of Chua's Circuits: Flat and Wrinkled Labyrinths (M92/75)

V. Perez-Munuzuri, V. Perez-Villar and Leon O. Chua

On Chaos in Digital Filters: Case b=-1 (M92/74)

L. Kocarev and Leon O. Chua

N-Dimensional Canonical Chua's Circuit (M92/73)

L. Kocarev, L. Karadzinov and Leon O. Chua

The Adatron Learning Algorithm with Constraints (M92/71)

P. Nachbar, T. Fussl, J.A. Nossek and Leon O. Chua

New Type of Strange Attractor Related to the Chua's Circuit (M92/52)

V.N. Belykh and Leon O. Chua

Stochastic Resonance in the Nonautonomous Chua's Circuit (M92/51)

V.S. Anishchenko, M.A. Safonova and Leon O. Chua

Confirmation of the Afraimovich-Shilnikov Torus-Breakdown Theorem via Chua's Torus Circuit (M92/50)

V.S. Anishchenko, M.A. Safonova and Leon O. Chua

Mapping Nonlinear Lattice Equations onto Cellular Neural Networks (M92/42)

S. Paul, K. Huper, J.A. Nossek and Leon O. Chua

Traveling Wave Front and Its Failure in a One-Dimensional Array of Chua's Circuits (M92/39)

V. Perez-Munuzuri, V. Perez-Villar and Leon O. Chua

Associative and Random Access Memory Using One-Dimensional Maps (M92/32)

Y.V. Andreyev, A.S. Dmitriev, Leon O. Chua and C.W. Wu

Properties of Admissible Symbolic Sequences in a Second Order Digital Filter with Overflow Nonlinearity (M92/18)

C.W. Wu and Leon O. Chua

A CMOS IC Nonlinear Resistor for Chua's Circuit (M92/16)

J. Cruz and Leon O. Chua

The Genesis of Chua's Circuit (M92/1)

Leon O. Chua

Stability and Dynamics of Delay-Type and Nonlinear Cellular Neural Networks (M91/110)

T. Roska, C.W. Wu, M. Balsi and Leon O. Chua

Image Halftoning with Cellular Neural Networks (M91/106)

K.R. Crounse, T. Roska and Leon O. Chua

Synchronization of Chaos in Phase-Locked Loops (M91/59)

T. Endo and Leon O. Chua

Multilevel and Non-Ideal Quantization in Sigma-Delta Modulation (M91/54)

O. Feely and Leon O. Chua

A Non-Fractal Chaotic Attractor on a Two-Dimensional Surface (M91/32)

G-N. Lin and Leon O. Chua

On the Universe of Stable Cellular Neural Networks (M91/31)

Leon O. Chua and C.W. Wu

Nonlinear Dynamics of a Class of Analog-to- Digital Converters (M91/30)

O. Feely and Leon O. Chua

High-Speed High-Density CMOS CNNs (M91/28)

J.M. Cruz and Leon O. Chua

A Generalized Cellular Neural Network Implementation of a Novel Edge Detection Algorithm (M91/25)

B.E. Shi and Leon O. Chua

Generalizing the Twist and Flip Paradigm (M91/24)

R. Brown and Leon O. Chua

Stability Analysis of Generalized Cellular Neural Networks (M91/23)

C. Guzelis and Leon O. Chua

Cellular Neural Network A/D Conversion (M91/20)

L. Yang and Leon O. Chua

An Analytic Method for Designing Simple Cellular Neural Networks (M91/3)

Leon O. Chua and P. Thiran

The Effect of Integrator Leak in Sigma-Delta Modulation (M90/116)

O. Feely and Leon O. Chua

Multiple Layer Cellular Neural Networks: A Tutorial (M90/113)

Leon O. Chua and B.E. Shi

The Identification of General Pseudo- Reciprocal Vector Fields (M90/104)

R. Lum and Leon O. Chua

Horseshoes in the Twist and Flip Map (M90/88)

R. Brown and Leon O. Chua

The Identification of Pseudo-Reciprocal Piecewise-Linear Vector Fields (M90/87)

R. Lum and Leon O. Chua

The Identification of General Pseudo- Gradient Vector Fields (M90/86)

R. Lum and Leon O. Chua

The Identification of Pseudo-Gradient Vector Fields (M90/85)

R. Lum and Leon O. Chua

Generic Properties of Continuous Piecewise-Linear Vector Fields in R^2 (M90/71)

R. Lum and Leon O. Chua

Device Modelling by Radial Basis Functions (M90/70)

A.I. Mees, M.F. Jackson and Leon O. Chua

Multi-Folding: A New Chaotic Attractor Formation Mechanism in a Drive R-L-Diode Circuit (M90/66)

S. Tanaka, T. Matsumoto, J. Noguchi and Leon O. Chua

Invariance Properties of Continuous Piecewise-Linear Vector Fields (M90/38)

R. Lum and Leon O. Chua

Global Properties of Continuous Piecewise-Linear Vector Fields Part II: Simplest Symmetric Case in R^2 (M90/29)

R. Lum and Leon O. Chua

The Complete Canonical Piecewise-Linear Representation I. The Geometry of the Domain Space (M90/26)

C. Kahlert and Leon O. Chua

Global Properties of Continuous Piecewise-Linear Vector Fields Part I: Simplest Case in R^2 (M90/22)

R. Lum and Leon O. Chua

Intermittency in a Piecewise-Linear Circuit (M90/16)

Leon O. Chua and G. Lin

CNN Cloning Template: Shadow Detector (M90/14)

T. Matsumoto, Leon O. Chua and H. Suzuki

Exploiting Cellular Automata in the Design of Cellular Neural Networks for Binary Image Processing (M89/130)

Leon O. Chua and B.E. Shi

Global Optimization: A Naive Approach (M89/118)

Leon O. Chua

1-D Map for the Double Scroll Family (M89/108)

Leon O. Chua and I. Tichonicky

Stability of a Class of Nonreciprocal Cellular Neural Networks (M89/100)

Leon O. Chua and T. Roska

Image Thinning with a Cellular Neural Network (M89/86)

T. Matsumoto, Leon O. Chua and T. Yokohama

CNN Cloning Template: Hole-Filler (M89/66)

T. Matsumoto, Leon O. Chua and R. Furukawa

CNN Cloning Template: Connected Component Detector (M89/65)

T. Matsumoto, Leon O. Chua and H. Suzuki

Canonical Realization of Chua's Circuit Family (M89/53)

Leon O. Chua and G-N. Lin

The Complete Canonical Piecewise-Linear Representation (M89/32)

C. Kahlert and Leon O. Chua

Normal Forms for Constrained Nonlinear Differential Equations - Part II: Bifurcation (M87/93)

Leon O. Chua and H. Oka

Normal Forms for Constrained Nonlinear Differential Equations - Part I: Theory and Examples (M87/83)

Leon O. Chua and H. Oka

Normal Forms for Nonlinear Vector Fields - Part II: Applications (M87/82)

Leon O. Chua and H. Kokubu

Normal Forms for Nonlinear Vector Fields - Part I: Theory and Algorithm (M87/81)

Leon O. Chua and H. Kokubu

NOnlinear ELectronics (NOEL) Package 10 SUBST: A Package for the Steady-State Analysis of Nonlinear Circuits Driven by Multi-Frequency (M87/54)

A. Sakamoto and Leon O. Chua

Cellular Neural Networks (M87/49)

Leon O. Chua and L. Yang

The Dual Double Scroll Equation (M86/99)

T.S. Parker and Leon O. Chua

3-D Rotation Instrument for Displaying Strange Attractors (M86/61)

Leon O. Chua and T. Sugawara

NOnlinear ELectronics (NOEL) Package 8: Phase Portrait of Second Order Nonlinear Circuits (M86/46)

A-C. Deng and Leon O. Chua

Weakly Nonlinear Oscillator Circuits and Averaging: A General Approach (M86/45)

G.M. Bernstein and Leon O. Chua

NOnlinear ELectronics (NOEL) Package 7: Canonical Piecewise-Linear Transient Analysis (M86/34)

A-C. Deng and Leon O. Chua

NOnlinear ELectronics (NOEL) Package 6: Canonical Piecewise-Linear DC Analysis (M86/33)

A-C. Deng and Leon O. Chua

NOnlinear ELectronics (NOEL) Package 5: Canonical Piecewise-Linear Modeling (M86/32)

A-C. Deng and Leon O. Chua

NOnlinear ELectronics (NOEL) Package 9 RKF: A Single-Stop, Variable Step-Size Integration Routine for Non-Stiff Odes (M86/28)

T.S. Parker, G.M. Bernstein and Leon O. Chua

NOnlinear ELectronics (NOEL) Package 3: Nonlinear DC Analysis (M86/26)

A-C. Deng and Leon O. Chua

NOnlinear ELectronics (NOEL) Package 2: Computer Generation of Symbolic Transfer Function (M86/24)

A-C. Deng and Leon O. Chua

NOnlinear ELectronics (NOEL) Package 1: Linear Circuit Formulations, N-Port Representations, and State Equations (M86/23)

A-C. Deng and Leon O. Chua

NOnlinear ELectronics (NOEL) Package 0: General Description (M86/22)

A-C. Deng and Leon O. Chua

Double Scroll Via A Two-Transistor Circuit (M86/1)

T. Matsumoto, Leon O. Chua and K. Tokumasu

Double Scroll Family: Part I - Rigorous Proof of Chaos; Part II - Rigorous Analysis of Bifurcation Phenomena (M85/102)

Leon O. Chua, T. Matsumoto and M. Komuro

Transfer Maps and Return for Piecewise- Linear Three-Region Dynamical Systems (M85/101)

C. Kahlert and Leon O. Chua

Canonical Nonlinear Programming Circuits (M85/100)

J.L. Huertas, A. Rueda, A. Rodriguez-Vasquez and Leon O. Chua

Devil's Staircase Route to Chaos in a Nonlinear Circuit (M85/98)

Leon O. Chua, Y. Yao and Q. Yang

Van Der Pol and Chaos (M85/97)

M.P. Kennedy and Leon O. Chua

Computer Implementation of Two Topological Uniqueness Tests (M85/78)

T.S. Parker, M.P. Kennedy, Y. Liao and Leon O. Chua

Experimental Confirmation of the Period-Adding Route to Chaos in a Nonlinear Circuit (M85/69)

L.Q. Pei, F. Guo, S.X. Wu and Leon O. Chua

Chaos in a Switched Capacitor Circuit (M85/44)

A. Rodriguez-Vasquez, J.J. Huertas and Leon O. Chua

Canonical Piecewise-Linear Analysis: Generalize Brake Point Hopping Algorithm (M85/36)

Leon O. Chua and A-C. Deng

Canonical Piecewise-Linear Modeling (M85/35)

Leon O. Chua and A-C. Deng

Bifurcation Phenomena in a Third Order Electrical Circuit (M85/30)

T. Matsumoto, Leon O. Chua and M. Komuro

Efficient Solution of the Variational Equation for Piece-Wise Linear Differential Equation (M85/28)

T.S. Parker and Leon O. Chua

Fading Memory and the Problems of Approximating Nonlinear Operators with Volterra Series (M84/96)

S. Boyd and Leon O. Chua

Topological Proof of the Nielsen-Willson Theorem (M84/89)

T. Nishi and Leon O. Chua

Uniqueness of Solution for Nonlinear Resistive Containing CCCSs or VCVSs whose Controlling Coefficients are Finite (M84/88)

T. Nishi and Leon O. Chua

On a Class of SC Resistors and Its Application to the Synthesis of Nonlinear Driving-Point and Transfer-Characteristic Plots (M84/83)

A. Rodriguez-Vazques, J.L. Huertas and Leon O. Chua

A Double-Scroll Chaotic Attractor from a Third Order Reciprocal Circuit (M84/73)

T. Matsumoto, Leon O. Chua and M. Komuro

Negative Resistance Curve Tracer, Part II: Manual (M84/53)

Leon O. Chua, G-Q. Zhong and F. Ayrom

Exploiting the Op Amp Nonlinearity in Circuit Design (M84/50)

Leon O. Chua and F. Ayrom

Negative Resistance Curve Tracer (M84/29)

Leon O. Chua and G-Q. Zhong

The Simplest Chaotic Non-Autonomous Circuit (M84/28)

T. Matsumoto, Leon O. Chua and S. Tanaka

Analytical Foundations of Volterra Series (M84/14)

S. Boyd, Leon O. Chua and Charles A. Desoer

Canonical-Piecewise-Linear Analysis Part II: Tracing Diving-Point and Transfer Characteristics (M84/12)

Leon O. Chua and A.C. Deng

Nonlinear Switched-Capacitor Networks: Basic Principles and Piecewise-Linear Design (M84/10)

J.L. Huertas, Leon O. Chua and A. Rodriguez-Vasquez

Negative Resistance Devices: Part II (M83/75)

Leon O. Chua and A-C. Deng

Nonlinear Circuits (M83/43)

Leon O. Chua

Nonlinear Op-Amp Circuits: Existence and Uniqueness of Solution by Inspection (M83/32)

T. Nishi and Leon O. Chua

Uniqueness of Circuits and Systems Containing One Nonlinearity (M83/30)

S. Boyd and Leon O. Chua

Topological Criteria for Nonlinear Resistive Circuits Containing Controlled Sources to Have a Unique Solution (M83/21)

T. Nishi and Leon O. Chua

Integral Manifolds for Nonlinear Circuits (M83/15)

M. Odyniec and Leon O. Chua

Josephson Junction Circuit Analysis via Integral Manifolds: Part II (M83/12)

M. Odyniec and Leon O. Chua

Uniqueness of a Basic Nonlinear Structure (M83/8)

S. Boyd and Leon O. Chua

Measuring Volterra Kernels (M83/7)

S. Boyd, Y.S. Tang and Leon O. Chua