TY - JOUR
T1 - Multistability in a quasiperiodically forced piecewise smooth dynamical system
AU - Li, Gaolei
AU - Yue, Yuan
AU - Xie, Jianhua
AU - Grebogi, Celso
N1 - This work is supported by the National Natural Science Foundation of China (11672249, 11732014 and 11572263).
PY - 2020/5/1
Y1 - 2020/5/1
N2 - Considering a class of quasiperiodically forced piecewise smooth systems, we uncover a dynamic phenomenon in which strange nonchaotic attractors (SNAs) and quasiperiodic attractors coexist in nonsmooth dynamical system, obtaining the domains of attraction of these coexisting attractors in parameter space in order to analyze the global dynamics. The global dynamics analysis demonstrates that SNAs are the transition from quasiperiodic attractors to chaotic attractors. The routes to SNAs, including torus-doubling route, torus fractalization route or, simply, fractal route, and intermittency route, are also investigated. The characteristics of SNAs are described by dynamical invariants such as the Lyapunov exponent, power spectrum, phase sensitivity and rational approximations.
AB - Considering a class of quasiperiodically forced piecewise smooth systems, we uncover a dynamic phenomenon in which strange nonchaotic attractors (SNAs) and quasiperiodic attractors coexist in nonsmooth dynamical system, obtaining the domains of attraction of these coexisting attractors in parameter space in order to analyze the global dynamics. The global dynamics analysis demonstrates that SNAs are the transition from quasiperiodic attractors to chaotic attractors. The routes to SNAs, including torus-doubling route, torus fractalization route or, simply, fractal route, and intermittency route, are also investigated. The characteristics of SNAs are described by dynamical invariants such as the Lyapunov exponent, power spectrum, phase sensitivity and rational approximations.
KW - Coexisting attractors
KW - Global dynamics
KW - Phase sensitivity
KW - Piecewise smooth system
KW - Strange nonchaotic attractors
KW - STRANGE NONCHAOTIC ATTRACTORS
KW - BIFURCATIONS
KW - BIRTH
UR - http://www.scopus.com/inward/record.url?scp=85077513963&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2019.105165
DO - 10.1016/j.cnsns.2019.105165
M3 - Article
AN - SCOPUS:85077513963
VL - 84
JO - Communications in Nonlinear Science & Numerical Simulation
JF - Communications in Nonlinear Science & Numerical Simulation
SN - 1007-5704
M1 - 105165
ER -