% % sys_deri.m % % DDE-BIFTOOL MATLAB vector field function for: mg % % This file was generated by the program VFGEN (Version:2.4.0) % Generated on 10-Jul-2008 at 12:54 % % % The lags are: {tau} % % If X(t) is the state vector at time t, then % Zlags_ = [ X(t) X(t-tau) ] % % The state vector: % x = Zlags_(1,1); % % (In the comments below, "wrt" means "with respect to".) % function jac_ = sys_deri(Zlags_,par_,nx_,np_,v_) % Parameters a = par_(1); b = par_(2); tau = par_(3); if length(nx_) == 1 & length(np_) == 0 & isempty(v_) jac_ = zeros(1,1); if nx_ == 0 % Derivatives wrt the state variables jac_(1,1) = -b; elseif nx_ == 1 % Derivatives wrt state variables with delay tau jac_(1,1) = a*(1+Zlags_(1,2)^10)^(-1)-10*a*(1+Zlags_(1,2)^10)^(-2)*Zlags_(1,2)^10; end elseif length(nx_) == 0 & length(np_) == 1 & isempty(v_) jac_ = zeros(1,1); if np_ == 1 % Derivative wrt a jacp_(1) = (1+Zlags_(1,2)^10)^(-1)*Zlags_(1,2); elseif np_ == 2 % Derivative wrt b jacp_(1) = -Zlags_(1,1); elseif np_ == 3 % Derivative wrt tau end elseif length(nx_) == 1 & length(np_) == 1 & isempty(v_) % mixed state variable and parameter derivatives jac_ = zeros(1,1); if nx_ == 0 % Derivatives wrt the state variables if np_ == 1 % Derivative wrt a elseif np_ == 2 % Derivative wrt b jac_(1,1) = -1; elseif np_ == 3 % Derivative wrt tau end % if np_ == ... elseif nx_ == 1 % Derivatives wrt state variables with delay tau if np_ == 1 % Derivative wrt a jac_(1,1) = -10*(1+Zlags_(1,2)^10)^(-2)*Zlags_(1,2)^10+(1+Zlags_(1,2)^10)^(-1); elseif np_ == 2 % Derivative wrt b elseif np_ == 3 % Derivative wrt tau end % if np_ == ... end % if nx_ == ... elseif length(nx_) == 2 & length(np_) == 0 & ~isempty(v_) jac_ = zeros(1,1); if nx_(1) == 0 % Derivatives wrt the state variables if nx_(2) == 0 % Derivatives wrt the state variables elseif nx_(2) == 1 % Derivatives wrt state variables with delay tau end % if nx_(2) == ... elseif nx_(1) == 1 % Derivatives wrt state variables with delay tau if nx_(2) == 0 % Derivatives wrt the state variables elseif nx_(2) == 1 % Derivatives wrt state variables with delay tau jac_(1,1) = (-110*a*(1+Zlags_(1,2)^10)^(-2)*Zlags_(1,2)^9+200*a*(1+Zlags_(1,2)^10)^(-3)*Zlags_(1,2)^19)*v_(1); end % if nx_(2) == ... end % if nx_(1) == ... else error('sys_deri: Requested derivative has not been implemented.') end return