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Homoclinics and complex dynamics in slowly oscillating systems
Hausdorff dimension, strong hyperbolicity and complex dynamics
1.  Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, Illinois 60607, United States 
2.  Institut für Dynamische Systeme, Universität Bremen, Postfach 330 440, D28334 Bremen, Germany 
[1] 
Yuanfen Xiao. Mean LiYorke chaotic set along polynomial sequence with full Hausdorff dimension for $ \beta $transformation. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 525536. doi: 10.3934/dcds.2020267 
[2] 
Andy Hammerlindl, Jana Rodriguez Hertz, Raúl Ures. Ergodicity and partial hyperbolicity on Seifert manifolds. Journal of Modern Dynamics, 2020, 16: 331348. doi: 10.3934/jmd.2020012 
[3] 
Weisong Dong, Chang Li. Second order estimates for complex Hessian equations on Hermitian manifolds. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020377 
[4] 
Hua Qiu, ZhengAn Yao. The regularized Boussinesq equations with partial dissipations in dimension two. Electronic Research Archive, 2020, 28 (4) : 13751393. doi: 10.3934/era.2020073 
[5] 
Wei Ouyang, Li Li. Hölder strong metric subregularity and its applications to convergence analysis of inexact Newton methods. Journal of Industrial & Management Optimization, 2021, 17 (1) : 169184. doi: 10.3934/jimo.2019105 
[6] 
João Marcos do Ó, Bruno Ribeiro, Bernhard Ruf. Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 277296. doi: 10.3934/dcds.2020138 
[7] 
Susmita Sadhu. Complex oscillatory patterns near singular Hopf bifurcation in a twotimescale ecosystem. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020342 
[8] 
Neng Zhu, Zhengrong Liu, Fang Wang, Kun Zhao. Asymptotic dynamics of a system of conservation laws from chemotaxis. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 813847. doi: 10.3934/dcds.2020301 
[9] 
Annegret Glitzky, Matthias Liero, Grigor Nika. Dimension reduction of thermistor models for largearea organic lightemitting diodes. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020460 
[10] 
Weiwei Liu, Jinliang Wang, Yuming Chen. Threshold dynamics of a delayed nonlocal reactiondiffusion cholera model. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020316 
[11] 
Manil T. Mohan. First order necessary conditions of optimality for the two dimensional tidal dynamics system. Mathematical Control & Related Fields, 2020 doi: 10.3934/mcrf.2020045 
[12] 
Cuicui Li, Lin Zhou, Zhidong Teng, Buyu Wen. The threshold dynamics of a discretetime echinococcosis transmission model. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020339 
[13] 
ShaoXia Qiao, LiJun Du. Propagation dynamics of nonlocal dispersal equations with inhomogeneous bistable nonlinearity. Electronic Research Archive, , () : . doi: 10.3934/era.2020116 
[14] 
Ebraheem O. Alzahrani, Muhammad Altaf Khan. Androgen driven evolutionary population dynamics in prostate cancer growth. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020426 
[15] 
Vieri Benci, Marco Cococcioni. The algorithmic numbers in nonarchimedean numerical computing environments. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020449 
[16] 
Héctor Barge. Čech cohomology, homoclinic trajectories and robustness of nonsaddle sets. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020381 
[17] 
Ying Lin, Qi Ye. Support vector machine classifiers by nonEuclidean margins. Mathematical Foundations of Computing, 2020, 3 (4) : 279300. doi: 10.3934/mfc.2020018 
[18] 
Sergey Rashkovskiy. HamiltonJacobi theory for Hamiltonian and nonHamiltonian systems. Journal of Geometric Mechanics, 2020, 12 (4) : 563583. doi: 10.3934/jgm.2020024 
[19] 
Noufel Frikha, Valentin Konakov, Stéphane Menozzi. Wellposedness of some nonlinear stable driven SDEs. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 849898. doi: 10.3934/dcds.2020302 
[20] 
A. M. Elaiw, N. H. AlShamrani, A. AbdelAty, H. Dutta. Stability analysis of a general HIV dynamics model with multistages of infected cells and two routes of infection. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020441 
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