Multiple tori intermittency routes to strange nonchaotic attractors in a quasiperiodically-forced piecewise smooth system

被引：6

作者：

Zhao, Yifan ^{[1
]}

Zhang, Yongxiang ^{[1
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

来源：

NONLINEAR DYNAMICS | 2024年 / 112卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Strange nonchaotic attractors; Farey tree; Piecewise smooth system; Phase sensitivity exponent; BIRTH; BIFURCATION; COLLISION; DYNAMICS; CRISES;

D O I：

10.1007/s11071-024-09352-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The multi-torus intermittent paths of strange nonchaotic attractors in quasi-periodic forced piecewise smooth systems are investigated. Due to Farey tree bifurcations, different tori are converted to intermittent strange nonchaotic attractors through a series of non-smooth saddle-node bifurcations. First, the singularity is observed by the phase diagrams, and then the non-chaos is determined by calculating the maximum Lyapunov exponent. In addition, some properties of SNAs can be described by analyzing the variation of phase sensitive function with the number of tori, the structure of recursive plot and finite time Lyapunov exponential distribution. What is different from previous studies about SNAs is that the distribution of the finite-time Lyapunov exponents peaks at extremely negative values, while the positive tail of the distribution decreases in a linear manner.

引用

页码：6329 / 6338

页数：10

共 46 条

[1]

[Anonymous], 2003, Phys. Rev. E

[2] Multi layered bubbling route to SNA in a quasiperiodically forced electronic circuit with experimental and analytical confirmation [J].

Arulgnanam, A. ;

Prasad, Awadhesh ;

Thamilmaran, K. ;

Daniel, M. .

CHAOS SOLITONS & FRACTALS, 2015, 75 :96-110

[3] INFINITE NUMBER OF PARAMETER REGIONS WITH FRACTAL NONCHAOTIC ATTRACTORS IN A PIECEWISE MAP [J].

Cheng, Tao ;

Zhang, Yongxiang ;

Shen, Yunzhu .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (04)

[4] EXPERIMENTAL-OBSERVATION OF A STRANGE NONCHAOTIC ATTRACTOR [J].

DITTO, WL ;

SPANO, ML ;

SAVAGE, HT ;

RAUSEO, SN ;

HEAGY, J ;

OTT, E .

PHYSICAL REVIEW LETTERS, 1990, 65 (05) :533-536

[5] Birth of strange nonchaotic attractors in a piecewise linear oscillator [J].

Duan, Jicheng ;

Zhou, Wei ;

Li, Denghui ;

Grebogi, Celso .

CHAOS, 2022, 32 (10)

[6] STRANGE ATTRACTORS THAT ARE NOT CHAOTIC [J].

GREBOGI, C ;

OTT, E ;

PELIKAN, S ;

YORKE, JA .

PHYSICA D, 1984, 13 (1-2) :261-268

[7] THE BIRTH OF STRANGE NONCHAOTIC ATTRACTORS [J].

HEAGY, JF ;

HAMMEL, SM .

PHYSICA D, 1994, 70 (1-2) :140-153

[8]

Hunt BR., 2001, PHYS REV LETT, V87

[9] On the structure of strange non-chaotic attractors in pinched skew products [J].

Jaeger, Tobias H. .

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2007, 27 :493-510

[10]

Jäger TH, 2009, MEM AM MATH SOC, V201, P1

← 1 2 3 4 5 →