INFINITE-DIMENSIONAL STRANGE ATTRACTORS AND BIFURCATIONS IN A DYNAMIC SYSTEM WITH INFINITELY MANY DEGREES OF FREEDOM

被引：1

作者：

PUSTYLNIKOV, LD

机构：

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1992年 / 92卷 / 01期

关键词：

D O I：

10.1007/BF01018703

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A system in which infinitely many degrees of freedom play an essential role is considered. Infinite-dimensional strange attractors that lead to spacetime chaos are constructed, and bifurcations of spatially homogeneous solutions are described.

引用

下载

页码：754 / 758

页数：5

共 50 条

[1] Infinitely many coexisting strange attractors
Colli, E
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1998, 15 (05): : 539 - 579
[2] Typical coexistence of infinitely many strange attractors
Barrientos, Pablo G.
Rojas, Juan David
MATHEMATISCHE ZEITSCHRIFT, 2023, 303 (02)
[3] Typical coexistence of infinitely many strange attractors
Pablo G. Barrientos
Juan David Rojas
Mathematische Zeitschrift, 2023, 303
[4] Coexistence and persistence of infinitely many strange attractors
Pumariño, A
Rodríguez, JA
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2001, 21 : 1511 - 1523
[5] CHAOTIC ATTRACTORS OF AN INFINITE-DIMENSIONAL DYNAMICAL SYSTEM
FARMER, JD
PHYSICA D-NONLINEAR PHENOMENA, 1982, 4 (03) : 366 - 393
[6] A DYNAMIC SYSTEM WITH INFINITELY MANY DEGREES OF FREEDOM AND SOLUTION OF THE FRENKEL-KONTOROVA PROBLEM
PUSTYLNIKOV, LD
THEORETICAL AND MATHEMATICAL PHYSICS, 1986, 68 (01) : 673 - 681
[7] THE INFINITE-DIMENSIONAL DRESSING DYNAMIC SYSTEM
SHABAT, A
INVERSE PROBLEMS, 1992, 8 (02) : 303 - 308
[8] Grazing-Sliding Bifurcations Creating Infinitely Many Attractors
Simpson, David J. W.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (12):
[9] FINITE-DIMENSIONAL STOCHASTIC ATTRACTORS OF INFINITE-DIMENSIONAL DYNAMIC-SYSTEMS
BLANK, ML
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1986, 20 (02) : 128 - 130
[10] Embeddings of low-dimensional strange attractors: Topological invariants and degrees of freedom
Romanazzi, Nicola
Lefranc, Marc
Gilmore, Robert
PHYSICAL REVIEW E, 2007, 75 (06):

← 1 2 3 4 5 →