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Title: 'Butterfly effect' in porous Bénard convection heated from below

Transition from steady to chaos for the onset of Bénard convection in porous medium was analyzed. The governing equation is reduced to ordinary differential equation and solved using built in MATLAB ODE45. The transition from steady to chaos take over from a limit cycle followed by homoclinic explosion.
Authors:
;  [1] ;  [2]
  1. Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur (Malaysia)
  2. Faculty of Science and Technology, Universiti Sains Islam Malaysia, 71800 Bandar Baru Nilai, Negeri Sembilan Darul Khusus (Malaysia)
Publication Date:
OSTI Identifier:
22306146
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1605; Journal Issue: 1; Conference: SKSM21: 21. national symposium on mathematical sciences: Germination of mathematical sciences education and research towards global sustainability, Penang (Malaysia), 6-8 Nov 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; CONVECTION; DIFFERENTIAL EQUATIONS; EXPLOSIONS; LIMIT CYCLE; POROUS MATERIALS