[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 …

[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 …

Three-dimensional Hénon-like maps and wild Lorenz-like attractors

SV Gonchenko, II Ovsyannikov, C Simó… - International Journal of …, 2005 - World Scientific
We discuss a rather new phenomenon in chaotic dynamics connected with the fact that
some three-dimensional diffeomorphisms can possess wild Lorenz-type strange attractors …

Towards global models near homoclinic tangencies of dissipative diffeomorphisms

H Broer, C Simó, JC Tatjer - Nonlinearity, 1998 - iopscience.iop.org
Towards global models near homoclinic tangencies of dissipative diffeomorphisms Page 1
Nonlinearity Towards global models near homoclinic tangencies of dissipative diffeomorphisms …

Bifurcations in a discrete predator–prey model with nonmonotonic functional response

J Huang, S Liu, S Ruan, D Xiao - Journal of Mathematical Analysis and …, 2018 - Elsevier
The predator–prey/consumer–resource interaction is the most fundamental and important
process in population dynamics. Many species, such as monocarpic plants and …

[图书][B] Local and semi-local bifurcations in Hamiltonian dynamical systems: results and examples

H Hanssmann - 2006 - books.google.com
Once again KAM theory is committed in the context of nearly integrable Hamiltonian
systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori …

Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing

H Broer, C Simó, R Vitolo - Nonlinearity, 2002 - iopscience.iop.org
A low-dimensional model of general circulation of the atmosphere is investigated. The
differential equations are subject to periodic forcing, where the period is one year. A three …

Bifurcations in a modified Leslie–Gower predator–prey discrete model with Michaelis–Menten prey harvesting

A Singh, P Malik - Journal of Applied Mathematics and Computing, 2021 - Springer
In this paper, a modified Leslie–Gower predator–prey discrete model with Michaelis–Menten
type prey harvesting is investigated. It is shown that the model exhibits several bifurcations …

Averaging under fast quasiperiodic forcing

C Simó - Hamiltonian mechanics: Integrability and chaotic …, 1994 - Springer
We consider a non autonomous system of ordinary differential equations. Assume that the
time dependence is quasiperiodic with large basic frequencies, ω/ε and that the ω vector …

Bifurcations and chaos in a two-dimensional discrete Hindmarsh–Rose model

B Li, Z He - Nonlinear Dynamics, 2014 - Springer
In this paper, the dynamics of a two-dimensional discrete Hindmarsh–Rose model is
discussed. It is shown that the system undergoes flip bifurcation, Neimark–Sacker …