Hidden attractors in Chua circuit: mathematical theory meets physical experiments
N Kuznetsov, T Mokaev, V Ponomarenko… - Nonlinear …, 2023 - Springer
After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …
attractor in numerical simulation of a real physical process, a new scientific direction of …
Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
R Genesio, A Tesi - Automatica, 1992 - Elsevier
The paper considers the problem of determining the conditions under which a nonlinear
dynamical system can give rise to a chaotic behaviour. On the basis of the harmonic balance …
dynamical system can give rise to a chaotic behaviour. On the basis of the harmonic balance …
Nonlinear analysis of the Colpitts oscillator and applications to design
GM Maggio, O De Feo… - IEEE Transactions on …, 1999 - ieeexplore.ieee.org
This paper reports a methodological approach to the analysis and design of sinusoidal
oscillators based on bifurcation analysis. The simple Colpitts oscillator is taken as an …
oscillators based on bifurcation analysis. The simple Colpitts oscillator is taken as an …
Chaotic behavior in noninteger-order cellular neural networks
In this paper, a simple system showing chaotic behavior is introduced. It is based on the well-
known concept of cellular neural networks (CNNs), which have already given good results in …
known concept of cellular neural networks (CNNs), which have already given good results in …
Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
The harmonic balance method is applied to the analysis of period-doubling bifurcations in a
general class of nonlinear feedback systems. Compact conditions for the prediction and …
general class of nonlinear feedback systems. Compact conditions for the prediction and …
[图书][B] Cellular neural networks, multi-scroll chaos and synchronization
JAK Suykens, J Vandewalle - 2005 - books.google.com
For engineering applications that are based on nonlinear phenomena, novel information
processing systems require new methodologies and design principles. This perspective is …
processing systems require new methodologies and design principles. This perspective is …
[图书][B] Cellular neural networks: dynamics and modelling
A Slavova - 2003 - books.google.com
Conventional digital computation methods have run into a se rious speed bottleneck due to
their serial nature. To overcome this problem, a new computation model, called Neural …
their serial nature. To overcome this problem, a new computation model, called Neural …
Analysis of stability and bifurcations of limit cycles in Chua's circuit through the harmonic-balance approach
F Bonani, M Gilli - IEEE Transactions on Circuits and Systems I …, 1999 - ieeexplore.ieee.org
This paper presents a spectral approach, based on the harmonic-balance technique, for
detecting limit-cycle bifurcations in complex nonlinear circuits. The key step of the proposed …
detecting limit-cycle bifurcations in complex nonlinear circuits. The key step of the proposed …
Frequency domain approach to computation and analysis of bifurcations and limit cycles: A tutorial
This paper introduces a frequency domain approach together with some techniques and
methodologies for the computation and analysis of bifurcations and limit cycles arising in …
methodologies for the computation and analysis of bifurcations and limit cycles arising in …
[PDF][PDF] Bilinear systems and chaos
S Čelikovský, A Vaněček - Kybernetika, 1994 - dml.cz
A single-input homogeneous bilinear control system in R3 is investigated to determine a
class of bilinear control systems for which the feedback can lead to the chaotic behavior of …
class of bilinear control systems for which the feedback can lead to the chaotic behavior of …