Non-orbital characterizations of strange attractors: Effective intervals and multifractality measures

Alexandre Magno de Paula Viveiros

doi:10.1063/5.0018728

Non-orbital characterizations of strange attractors: Effective intervals and multifractality measures

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/5.0018728 ◽

2021 ◽

Vol 31 (3) ◽

pp. 033139

Author(s):

Alexandre Magno de Paula Viveiros

Keyword(s):

Strange Attractors

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Chaotic Evolution and Strange Attractors

10.1017/cbo9780511608773 ◽

1989 ◽

Cited By ~ 299

Author(s):

D. Ruelle

Keyword(s):

Strange Attractors

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MULTI-FRACTALS OF STRANGE ATTRACTORS IN PARALLEL-PUMPED SPIN-WAVE INSTABILITIES

Le Journal de Physique Colloques ◽

10.1051/jphyscol:19888732 ◽

1988 ◽

Vol 49 (C8) ◽

pp. C8-1599-C8-1600

Author(s):

K. Nakamura ◽

M. Mino ◽

H. Yamazaki

Keyword(s):

Spin Wave ◽

Strange Attractors ◽

Wave Instabilities

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Motion of particles in turbulent flow: Hyperbolicity, strange attractors and dynamic stochasticity of a system

Studia Geophysica et Geodaetica ◽

10.1007/bf01591713 ◽

1984 ◽

Vol 28 (2) ◽

pp. 188-201

Author(s):

Jiří Horák ◽

J. Navrátil

Keyword(s):

Turbulent Flow ◽

Strange Attractors ◽

Dynamic Stochasticity

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On the use of perturbation theory in the calculation of the fractal dimension of strange attractors

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(84)90183-0 ◽

1984 ◽

Vol 10 (3) ◽

pp. 340-352 ◽

Cited By ~ 2

Author(s):

D.S. Broomhead ◽

G. Rowlands

Keyword(s):

Perturbation Theory ◽

Fractal Dimension ◽

Strange Attractors

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On grazing and strange attractors fragmentation in non-smooth dynamical systems

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2005.01.012 ◽

2006 ◽

Vol 11 (8) ◽

pp. 922-933 ◽

Cited By ~ 4

Author(s):

Albert C.J. Luo

Keyword(s):

Dynamical Systems ◽

Strange Attractors

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Transient chaos as the backbone of dynamics on strange attractors beyond crisis

Physics Letters A ◽

10.1016/0375-9601(94)91066-9 ◽

1994 ◽

Vol 196 (1-2) ◽

pp. 173-180 ◽

Cited By ~ 16

Author(s):

K.G. Szabó ◽

T. Tél

Keyword(s):

Strange Attractors ◽

Transient Chaos

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Prospects of statistical approaches to the turbulence problem — how statistical methods, e.g. the theory of random fields, should be used in view of recent developments regarding the structure of turbulence, dynamical chaos, strange attractors, fractals

New Approaches and Concepts in Turbulence ◽

10.1007/978-3-0348-8585-0_26 ◽

1993 ◽

pp. 405-409

Author(s):

Themistocles Dracos ◽

Arkady Tsinober

Keyword(s):

Statistical Methods ◽

Random Fields ◽

Strange Attractors ◽

Dynamical Chaos ◽

Recent Developments ◽

Statistical Approaches

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Chaotic, non-chaotic strange attractors and bistability in non-isothermal fluidized bed catalytic reactors under PI control

Chaos Solitons & Fractals ◽

10.1016/0960-0779(95)00009-7 ◽

1996 ◽

Vol 7 (11) ◽

pp. 1955-1967 ◽

Cited By ~ 2

Author(s):

S.S.E.H. Elnashaie ◽

Abdelhamid Ajbar

Keyword(s):

Fluidized Bed ◽

Strange Attractors ◽

Pi Control ◽

Catalytic Reactors

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Statistical properties of flip-flop processes associated to the chaotic behavior of systems with strange attractors

Biological Cybernetics ◽

10.1007/bf00318372 ◽

1987 ◽

Vol 55 (6) ◽

pp. 377-385 ◽

Cited By ~ 4

Author(s):

F. Aicardi ◽

A. Borsellino

Keyword(s):

Chaotic Behavior ◽

Statistical Properties ◽

Strange Attractors ◽

Flip Flop

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Strange attractors in multipath propagation

IEEE Transactions on Communications ◽

10.1109/26.87150 ◽

1991 ◽

Vol 39 (5) ◽

pp. 629-631 ◽

Cited By ~ 20

Author(s):

C. Tannous ◽

R. Davies ◽

A. Angus

Keyword(s):

Multipath Propagation ◽

Strange Attractors

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