Dilip Kumar Sinha, formerly Sir Rashbehary Ghose Professor of Applied Mathematics at the University of Calcutta is a Professor of Mathematics at Jadavpur University, Fellow of the Institute of Mathematics and its Applications (UK), Fellow of the International Academy of Mathematical Chemistry (USA Crotia) and Fellow of the National Academy of Sciences of India.

• Preface; Preamble; Motivation; Recapturing linear ordinary differential equations; Linear systems: qualitative behaviour; Stability studies; Study of equilibria: another approach; Non-linear vis a vis linear systems; Stability aspects: Liapunov's direct method; Manifolds: introduction and applications in nonlinearity studies; Periodicity: orbits, limit cycles, Poincare map; Bifurcations: a prelude; Catastrophes: a prelude; Theorizing, further, bifurcations and catastrophes; Dynamical systems; Epilogue; Appendix I; Appendix II; Appendix III; Appendix IV; Appendix V