As an example: Here the first time I try to connect.... it works and gives my Mac 192.168.0.2.
*** SNIP***
OK
[ 1295][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 0 - WIFI_READY
[ 1363][V][WiFiGeneric.cpp:392] _arduino_event_cb(): AP Started
[ 1363][V][WiFiGeneric.cpp:97] set_esp_interface_ip(): Configuring SoftAP static IP: 192.168.0.1, MASK: 255.255.255.0, GW: 192.168.0.1
[ 1364][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 10 - AP_START
[ 1378][V][WiFiGeneric.cpp:143] set_esp_interface_ip(): SoftAP: 192.168.0.1 | Gateway: 192.168.0.1 | DHCP Start: 0.0.0.0 | Netmask: 255.255.255.0
[ 1390][V][WiFiGeneric.cpp:190] set_esp_interface_ip(): DHCP Server Range: 192.168.0.2 to 192.168.0.12
[ 1400][V][WiFiGeneric.cpp:340] _arduino_event_cb(): STA Started
[ 1404][V][WiFiGeneric.cpp:97] set_esp_interface_ip(): Configuring Station static IP: 0.0.0.0, MASK: 0.0.0.0, GW: 0.0.0.0
[ 1405][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 2 - STA_START
[ 1428][E][WiFiSTA.cpp:317] begin(): connect failed! 0x300a
Connected clients: 0
Connected clients: 0
Connected clients: 0
Connected clients: 0
Connected clients: 0
Connected clients: 0
[ 32004][V][WiFiGeneric.cpp:407] _arduino_event_cb(): AP Station Connected: MAC: 6c:40:08:99:7b:c0, AID: 1
[ 32005][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 12 - AP_STACONNECTED
[ 32035][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[ 32035][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
Connected clients: 1
Connected clients: 1
Connected clients: 1
**** SNIP ****

Then I disconnect and connect to another network (my home WiFi) .... although I'm no longer connected to the core2, It continues to show 1 client connected. When they I try to reconnect to the core2 SSID, it first show me disconnected, then tries to serve an address over and over. The Mac never accepts the address.

**** SNIP ****
Connected clients: 1
Connected clients: 1
Connected clients: 1
Connected clients: 1
Connected clients: 1
[208861][V][WiFiGeneric.cpp:414] _arduino_event_cb(): AP Station Disconnected: MAC: 6c:40:08:99:7b:c0, AID: 1
[208862][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 13 - AP_STADISCONNECTED
Connected clients: 1
[216440][V][WiFiGeneric.cpp:407] _arduino_event_cb(): AP Station Connected: MAC: 6c:40:08:99:7b:c0, AID: 1
[216440][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 12 - AP_STACONNECTED
Connected clients: 1
[216552][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[216552][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
[217890][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[217891][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
[220363][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[220364][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
Connected clients: 1
[226304][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[226305][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
Connected clients: 1
[227309][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[227309][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
[229339][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[229339][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
Connected clients: 1
[233314][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[233315][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
Connected clients: 1
Connected clients: 1
[242335][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[242336][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
[243334][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[243335][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
[245337][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[245337][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
Connected clients: 1
[249339][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[249339][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
Connected clients: 1
Connected clients: 1
[258361][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[258361][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
[259365][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[259365][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
[261365][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.2
[261365][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
**** SNIP ****

This goes on for sever minutes. Then as soon as i connect with my iPhone... both clients get an address.

**** SNIP ****
Connected clients: 1
Connected clients: 1
[942052][V][WiFiGeneric.cpp:407] _arduino_event_cb(): AP Station Connected: MAC: 2e:da:8a:d8:c5:64, AID: 2
[942053][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 12 - AP_STACONNECTED
[943452][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.3
[943453][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
[944350][V][WiFiGeneric.cpp:421] _arduino_event_cb(): AP Station IP Assigned:192.168.0.3
[944351][D][WiFiGeneric.cpp:1039] _eventCallback(): Arduino Event: 14 - AP_STAIPASSIGNED
Connected clients: 2
Connected clients: 2
Connected clients: 2
Connected clients: 2
Connected clients: 2