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Mathematical investigations of diffusive prey–predator dynamical system
International Journal of Geometric Methods in Modern PhysicsThis work presents the numerical investigations for the deterministic prey–predator model. It is a reaction-diffusion mathematical model for the two-prey interacting with a single predator. The predator–prey model is an important part of the ecosystem, especially for recognizing how the population collaborates in their natural surroundings.
Muhammad Waqas Yasin +5 more
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Mathematical modelling of nonlinear dynamic systems
Engineering for Rural Development, 2022Inna Samuilik +2 more
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Mathematical Methods in Dynamical Systems
2023S. Chakraverty, Subrat Kumar Jena
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Mathematical Modeling and Analysis of Dynamical Systems
2009This chapter provides mathematical preliminaries on dynamical systems to enable the readers to visualize the dynamic behavior of physical systems, with an ultimate aim to construct models of emotional dynamics and analyze its stability. It begins with various representational models of dynamical systems, and presents general methods of stability ...
Aruna Chakraborty, Amit Konar
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Mathematical modeling of discrete nonconservative dynamic systems
International Journal of Solids and Structures, 1972Abstract Many studies have shown that arbitrarily small differences between two nonconservative dynamic systems can result in completely different stability characteristics of the two systems. This can be interpreted as implying that mathematical modeling is of questionable value in the analysis and design of physical nonconservative systems.
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NONLINEAR DYNAMICAL SYSTEMS OF MATHEMATICAL PHYSICS
2011Denis Blackmore +2 more
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The Mathematical Theory of Turbulent Dynamical Systems
2016With the motivation from Chapter 1 and 2, here we build the mathematical theory of turbulent dynamical systems.
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Extreme events in dynamical systems and random walkers: A review
Physics Reports, 2022Sayantan Nag Chowdhury +2 more
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