C Grebogi
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Explore the profile of C Grebogi including associated specialties, affiliations and a list of published articles.
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16
Citations
49
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Recent Articles
1.
Santos V, Szezech Jr J, Batista A, Iarosz K, Baptista M, Ren H, et al.
Chaos
. 2018 Sep;
28(8):081105.
PMID: 30180624
We investigate the basin of attraction properties and its boundaries for chimera states in a circulant network of Hénon maps. It is known that coexisting basins of attraction lead to...
2.
Borges F, Iarosz K, Ren H, Batista A, Baptista M, Viana R, et al.
Biosystems
. 2013 Dec;
116:43-8.
PMID: 24333154
In this work we investigate a mathematical model describing tumour growth under a treatment by chemotherapy that incorporates time-delay related to the conversion from resting to hunting cells. We study...
3.
Baptista M, Kakmeni F, Grebogi C
Phys Rev E Stat Nonlin Soft Matter Phys
. 2011 Jan;
82(3 Pt 2):036203.
PMID: 21230157
In this work we studied the combined action of chemical and electrical synapses in small networks of Hindmarsh-Rose (HR) neurons on the synchronous behavior and on the rate of information...
4.
Schelin A, Karolyi G, de Moura A, Booth N, Grebogi C
Phys Rev E Stat Nonlin Soft Matter Phys
. 2009 Aug;
80(1 Pt 2):016213.
PMID: 19658798
In this paper we argue that the effects of irregular chaotic motion of particles transported by blood can play a major role in the development of serious circulatory diseases. Vessel...
5.
Pereira R, Pinto S, Viana R, Lopes S, Grebogi C
Chaos
. 2007 Jul;
17(2):023131.
PMID: 17614685
Many chaotic dynamical systems of physical interest present a strong form of nonhyperbolicity called unstable dimension variability (UDV), for which the chaotic invariant set contains periodic orbits possessing different numbers...
6.
Viana R, Grebogi C, Pinto S, Lopes S, Batista A, Kurths J
Phys Rev E Stat Nonlin Soft Matter Phys
. 2004 Feb;
68(6 Pt 2):067204.
PMID: 14754359
We investigate the relationship between the loss of synchronization and the onset of shadowing breakdown via unstable dimension variability in complex systems. In the neighborhood of the critical transition to...
7.
Kurths J, Boccaletti S, Grebogi C, Lai Y
Chaos
. 2003 Apr;
13(1):126-7.
PMID: 12675418
No abstract available.
8.
Lai Y, Lerner D, Williams K, Grebogi C
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
. 2002 Apr;
60(5 Pt A):5445-54.
PMID: 11970417
Systems of coupled chaotic maps and flows arise in many situations of physical and biological interest. The aim of this paper is to analyze and to present numerical evidence for...
9.
Karolyi G, Pentek A, Toroczkai Z, Tel T, Grebogi C
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
. 2002 Apr;
59(5 Pt B):5468-81.
PMID: 11969526
We investigate the evolution of particle ensembles in open chaotic hydrodynamical flows. Active processes of the type A+B-->2B and A+B-->2C are considered in the limit of weak diffusion. As an...
10.
Lai Y, Zyczkowski K, Grebogi C
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
. 2002 Apr;
59(5 Pt A):5261-5.
PMID: 11969484
Chaotic saddles are nonattracting dynamical invariant sets that physically lead to transient chaos. As a system parameter changes, chaotic saddles can evolve via an infinite number of homoclinic or heteroclinic...