System of Differential Equations

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SUMMARY

The discussion centers on the need for a comprehensive reference book on the analysis of systems of differential equations, particularly in the context of biological research. The user has completed introductory courses in Calculus, multivariable calculus, and differential equations, indicating a solid mathematical foundation. They express a preference for resources that focus on practical applications rather than lengthy mathematical proofs. The challenge lies in selecting from the vast array of available literature on dynamical systems.

PREREQUISITES
  • Understanding of differential equations
  • Familiarity with multivariable calculus
  • Basic knowledge of dynamical systems
  • Background in biological applications of mathematics
NEXT STEPS
  • Research "Nonlinear Dynamics and Chaos" by Steven Strogatz
  • Explore "Differential Equations, Dynamical Systems, and an Introduction to Chaos" by Morris W. Hirsch
  • Investigate "Mathematical Biology" by J.D. Murray
  • Learn about numerical methods for solving differential equations
USEFUL FOR

Students and researchers in biology, mathematicians focusing on applied mathematics, and anyone interested in the practical analysis of systems of differential equations.

PhDP
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Hello,

I'll take a research course very soon, and I would like to analyse the behavior of some system of differential equations (with sometime up to 6 differential equations). To do so, I would need a good book.

I'm not interested in long mathematical proofs, I just want to have a good book to use as a reference to analyse the behavior of such system rigorously.

BTW, I finished my 3 introductionary courses in Calculus, + multivariable calculus and a course on differential equations... and the research is in biology.

Thx
 
Physics news on Phys.org
There's so many books on dynamical system, it's hard to choose :)
 

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