Nonlinear dynamics and gravity

• Grant number: 16/06560-6
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: March 09, 2017
• End date: July 09, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Betti Hartmann
• Grantee: Betti Hartmann
• Visiting researcher: Partha Guha
• Visiting researcher institution: S. N. Bose National Centre for Basic Sciences (SNBNCBS), India
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Analytical techniques of non-linear dynamics have mostly been developed within the framework of mathematical applications. However, as recent research in theoretical high energy physics and in particular in the areas of black hole physics and cosmology has shown, these techniques have many applications in these areas as well and complement the existing numerical techniques. Within this project, we are interested in developing these tools further and understand how they can be used to complement and extend the knowledge of physical phenomena in the non-linear regime. (AU)

Scientific publications

(7)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CHANDA, SUMANTO; CHAKRAVARTY, SARBARISH; GUHA, PARTHA. On a reduction of the generalized Darboux-Halphen system. Physics Letters A, v. 382, n. 7, p. 455-460, FEB 20 2018. (16/06560-6)

CHANDA, SUMANTO; GUHA, PARTHA. Geometrical formulation of relativistic mechanics. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, v. 15, n. 4, APR 2018. (16/06560-6)

ABHINAV, KUMAR; GUHA, PARTHA. Inhomogeneous Heisenberg spin chain and quantum vortex filament as non-holonomically deformed NLS systems. European Physical Journal B, v. 91, n. 3, MAR 26 2018. (16/06560-6)

CHANDA, SUMANTO; GHOSE-CHOUDHURY, ANINDYA; GUHA, PARTHA. JACOBI-MAUPERTUIS METRIC OF LIENARD TYPE EQUATIONS AND JACOBI LAST MULTIPLIER. Electronic Journal of Differential Equations, JUN 15 2018. (16/06560-6)

CHANDA, SUMANTO; GHOSE-CHOUDHURY, ANINDYA; GUHA, PARTHA. JACOBI-MAUPERTUIS METRIC OF LIENARD TYPE EQUATIONS AND JACOBI LAST MULTIPLIER. Electronic Journal of Differential Equations, v. N/A, p. 9-pg., 2018-06-15. (16/06560-6)

GUHA, PARTHA; MUKHERJEE, INDRANIL. HIERARCHIES AND HAMILTONIAN STRUCTURES OF THE NONLINEAR SCHRODINGER FAMILY USING GEOMETRIC AND SPECTRAL TECHNIQUES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 24, n. 4, p. 1677-1695, APR 2019. (16/06560-6)

ESEN, OGUL; GUHA, PARTHA. On time-dependent Hamiltonian realizations of planar and nonplanar systems. JOURNAL OF GEOMETRY AND PHYSICS, v. 127, p. 32-45, APR 2018. (16/06560-6)