[图书][B] Elements of applied bifurcation theory
YA Kuznetsov, IA Kuznetsov, Y Kuznetsov - 1998 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …
impact of computer technology, the growing importance of computer modeling and the …
[图书][B] Numerical bifurcation analysis of maps
IUA Kuznet︠s︡ov, YA Kuznetsov, HGE Meijer - 2019 - books.google.com
This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-
time dynamical systems with concrete instruction on implementations (and example …
time dynamical systems with concrete instruction on implementations (and example …
[图书][B] Complexity, analysis and control of singular biological systems
Complexity, Analysis and Control of Singular Biological Systems follows the control of real-
world biological systems at both ecological and phyisological levels concentrating on the …
world biological systems at both ecological and phyisological levels concentrating on the …
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems
This paper first summarizes the theory of quasi-periodic bifurcations for dissipative
dynamical systems. Then it presents algorithms for the computation and continuation of …
dynamical systems. Then it presents algorithms for the computation and continuation of …
[HTML][HTML] Analysis and control of an SEIR epidemic system with nonlinear transmission rate
N Yi, Q Zhang, K Mao, D Yang, Q Li - Mathematical and computer …, 2009 - Elsevier
In this paper, the dynamical behaviors of an SEIR epidemic system governed by differential
and algebraic equations with seasonal forcing in transmission rate are studied. The cases of …
and algebraic equations with seasonal forcing in transmission rate are studied. The cases of …
Classification of bifurcations of quasi-periodic solutions using lyapunov bundles
K Kamiyama, M Komuro, T Endo… - International Journal of …, 2014 - World Scientific
In continuous-time dynamical systems, a periodic orbit becomes a fixed point on a certain
Poincaré section. The eigenvalues of the Jacobian matrix at this fixed point determine the …
Poincaré section. The eigenvalues of the Jacobian matrix at this fixed point determine the …
Coupled systems with quasi-periodic and chaotic dynamics
AP Kuznetsov, YV Sedova, NV Stankevich - Chaos, Solitons & Fractals, 2023 - Elsevier
The interaction of a system with quasi-periodic autonomous dynamics and a chaotic Rössler
system is studied. We have shown that with the growth of the coupling, regimes of two …
system is studied. We have shown that with the growth of the coupling, regimes of two …
Dynamics of coupled generators of quasiperiodic oscillations: Different types of synchronization and other phenomena
AP Kuznetsov, SP Kuznetsov, NA Shchegoleva… - Physica D: Nonlinear …, 2019 - Elsevier
A problem of synchronization of quasiperiodic oscillations is discussed in application to an
example of coupled systems with autonomous quasiperiodic dynamics. Charts of Lyapunov …
example of coupled systems with autonomous quasiperiodic dynamics. Charts of Lyapunov …
Three-dimensional torus breakdown and chaos with two zero Lyapunov exponents in coupled radio-physical generators
NV Stankevich, NA Shchegoleva… - Journal of …, 2020 - asmedigitalcollection.asme.org
Using an example a system of two coupled generators of quasi-periodic oscillations, we
study the occurrence of chaotic dynamics with one positive, two zero, and several negative …
study the occurrence of chaotic dynamics with one positive, two zero, and several negative …
Low-dimensional discrete Kuramoto model: Hierarchy of multifrequency quasiperiodicity regimes
AP Kuznetsov, YV Sedova - International Journal of Bifurcation and …, 2014 - World Scientific
The dynamics of a low-dimensional ensemble consisting of a network of five discrete phase
oscillators is considered. A two-parameter synchronization picture, which appears instead of …
oscillators is considered. A two-parameter synchronization picture, which appears instead of …